| 魏宁,李梅.具有双参数扰动的Holling II捕食-食饵模型分析[J].井冈山大学自然版,2021,42(1):1-6 |
| 具有双参数扰动的Holling II捕食-食饵模型分析 |
| ANALYSIS OF HOLLING II PREDATOR-PREY MODEL WITH TWO PARAMETERS PERTURBATION |
| 投稿时间：2020-09-25 修订日期：2020-11-03 |
| DOI：10.3969/j.issn.1674-8085.2021.01.001 |
| 中文关键词: 双参数扰动 捕食-食饵模型 随机最终有界 随机持久性 灭绝 |
| 英文关键词: two parameters perturbation predator-prey model stochastically ultimate boundedness stochastic permanence extinction |
| 基金项目:国家自然科学基金项目（11601225） |
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| 摘要点击次数: 5517 |
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| 中文摘要: |
| 针对一类具有双参数扰动的Holling II随机捕食-食饵模型的一些动力学性质问题，利用随机微分方程的一些基本理论和不等式技巧，证明了该系统的正解的存在性和唯一性，随机最终有界性，一致Hölder连续性和随机持久性，并给出了该系统灭绝的充分性条件。最后，通过数值模拟直观表现种群在双参数扰动下的数量变化，并与理论结果一致。 |
| 英文摘要: |
| In terms of some dynamics properties questions of Holling II stochastic predator-prey model with two parameters perturbation, through some theories of stochastic differential equations and inequalities, the existence and uniqueness of the positive solution, stochastically ultimate boundedness, uniformly Hölder-continuous and stochastic permanence of the system were proved. Moreover, the sufficient conditions for the system to be extinct were given. Finally, the quantitative change of the population under two parameters perturbation was showed, which was consistent with the theoretical results. |
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